961272288 has 72 divisors (see below), whose sum is σ = 2750523048. Its totient is φ = 318442752.

The previous prime is 961272287. The next prime is 961272313. The reversal of 961272288 is 882272169.

961272288 is a `hidden beast` number, since 9 + 612 + 7 + 2 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961272283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36706 + ... + 57182.

It is an arithmetic number, because the mean of its divisors is an integer number (38201709).

Almost surely, 2^961272288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375261524).

961272288 is an abundant number, since it is smaller than the sum of its proper divisors (1789250760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961272288 is a wasteful number, since it uses less digits than its factorization.

961272288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20656 (or 20645 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 961272288 is about 31004.3914308925. The cubic root of 961272288 is about 986.9204334686.

It can be divided in two parts, 96 and 1272288, that added together give a square (1272384 = 1128²).

The spelling of 961272288 in words is "nine hundred sixty-one million, two hundred seventy-two thousand, two hundred eighty-eight".